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Finding the Third Proportional to 102,244 and 223,078

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Solution

The third proportional to 102,244 and 223,078 is: 486,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,244 : 223,078 = 223,078 : x
  2. Step 2: Convert to fraction form
    102,244/223,078 = 223,078/x
  3. Step 3: Cross multiply
    102,244x = 223,078 × 223,078
  4. Step 4: Simplify right side
    102,244x = 49,763,794,084
  5. Step 5: Solve for x
    x = 49,763,794,084/102,244
  6. Step 6: Final answer
    x = 486,716.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.